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Creator: Ai, Hengjie Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 637 Abstract:
We propose a notion of smoothness of nonexpected utility functions, which extends the variational analysis of nonexpected utility functions to more general settings. In particular, our theory applies to state dependent utilities, as well as the multiple prior expected utility model, both of which are not possible in previous literatures. Other nonexpected utility models are shown to satisfy smoothness under more general conditions than the Fréchet and Gateaux differentiability used in the literature. We give more general characterizations of monotonicity and risk aversion without assuming state independence of utility function.
Creator: Ai, Hengjie and Bhandari, Anmol Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 570 Abstract:
This paper studies asset pricing in a setting in which idiosyncratic risk in human capital is not fully insurable. Firms use long-term contracts to provide insurance to workers, but neither side can commit to these contracts; furthermore, worker-firm relationships have endogenous durations owing to costly and unobservable effort. Uninsured tail risk in labor earnings arises as a part of an optimal risk-sharing scheme. In the general equilibrium, exposure to the resulting tail risk generates higher risk premia, more volatile returns, and variations in expected returns across firms. Model outcomes are consistent with the cyclicality of factor shares in the aggregate, and the heterogeneity in exposures to idiosyncratic and aggregate shocks in the cross section.
Mot-clé: Dynamic contracting, Tail risk, Limited commitment, and Equity premium puzzle Assujettir: E30 - Prices, Business Fluctuations, and Cycles: General (includes Measurement and Data) and G10 - General Financial Markets: General (includes Measurement and Data)